Integers
What is -3 + -18?
-21
Convert 3/8 into a decimal
0.375
What is a rate?
A ratio that compares two quantities with different units.
Birds n Stuff sells bird seed in different quantities. 3 lbs of bird seed costs $13.50 while 8 lbs of bird seed costs $36. Is the price per pound of bird seed proportional? How do you know?
Yes it is, each pound of bird seed costs $4.50.
-32 / (-8)
4
Write an expression for the following:
Marcie has $84 but she owes $26 to her brother. Luckily on the way to pay him she found a $20 bill.
How much money does Marcie actually have?
84 - 26 + 20 = 78
Marcie has $78.
What is the least common denominator for 5/6 and 4/15?
30
What is a unit rate?
A rate where the second unit is one.
How can you tell if a graph represents a proportional relationship?
If the graph is a straight line that passes through the origin it is proportional. If not it is not a proportional relationship.
-2.3(4.12)
-9.476
17 - (-4) + 22
43
2/3(-4/5)
-8/15
Stephanie carries 14 buckets of sand from the beach to her backyard in 30 minutes. If she continues to work at this rate how many buckets of sand can she carry every hour?
Stephanie can carry 28 buckets of sand per hour.
Susie is looking at the rates that several cyclists were riding at during the last big race. Pierre rode 24 miles in 45 minutes, Jean rode 72 miles in 3 hours, while Harriette rode 48 miles in 2 hours. Are there rates in miles per hour proportional? How do you know?
No they are not proportional. Pierre rode at 32 miles per hour, while Jean and Harriette both rode at 24 miles per hour.
-3/8 รท 2/3
-9/16
-23(-4)
92
0.435 - 2.16
-1.725
James runs a marathon (26.2 miles) in 2 hours and 15 minutes. What is his unit rate in miles per minute?
0.19 miles / 1 minute
Henry reads 135 pages in 3 hours on Monday then he reads 90 pages in 2 hours on Wednesday. Write an equation for the number of pages Henry reads every hour.
y = 45x
Write an expression for the following story problem:
Manny owes Gabriel $63 for a game that Gabriel bought for him. After working for his aunt for a weekend Manny earns $80. How much money does Manny have now?
-63 + 80 = 17
-3(8) - 5(-6)/3
-14
360 / (-0.08)
-4500
Hector makes a batch of cookies using 3 cups of flour and 2 cups of sugar while Luis makes a different batch of cookies using 5 cups of flour and 3 cups of sugar. What is the unit rate of cups of sugar to cups of flour for each recipe? Who has the higher sugar content in their cookies?
Hector: 0.67 c sugar / 1 c flour
Luis: 0.6 c sugar / 1 c flour
Hector has higher sugar content in his cookies.
-2/9 - 5/6
-19/18
-1 1/18